The observation of type Ia supernovae’s showed that the cosmological redshift of distant galaxies does not comply with the calculations on the basis of the Doppler effect (the Big Bang theory) and is subject to exponential law of damped oscillations, where the Hubble constant represents parameter of the attenuation electromagnetic oscillations. That is to say that Hubble constant - is quantum amount by which photon’s frequency decreases in one period of oscillation. To determine by how much the frequency of the photon has decreased, the Hubble constant must be multiplied by the number of the committed oscillations that is completely consistent with the results obtained by the modern method of the «standard candles» (Nobel Prize 2011).
Key words: Hubble's quantum law, Hubble constant, cosmological redshift, Big Bang theory, Doppler effect, aging of the light.